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Finding the Fourth Proportional to 7,766.69, 10,724.35 and 6,331.28

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Solution

The fourth proportional to 7,766.69, 10,724.35 and 6,331.28 is: 8,742.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.69 : 10,724.35 = 6,331.28 : x
  2. Step 2: Convert to fraction form
    7,766.69/10,724.35 = 6,331.28/x
  3. Step 3: Cross multiply
    7,766.69x = 10,724.35 × 6,331.28
  4. Step 4: Simplify right side
    7,766.69x = 67,898,793.22
  5. Step 5: Solve for x
    x = 67,898,793.22/7,766.69
  6. Step 6: Final answer
    x = 8,742.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.